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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 185130dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.f1 | 185130dw1 | \([1, -1, 0, -4620105, 3921293965]\) | \(-8444922396903721/253364474880\) | \(-327212103790025118720\) | \([]\) | \(9676800\) | \(2.7145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185130dw do not have complex multiplication.Modular form 185130.2.a.dw
sage: E.q_eigenform(10)